LCM of 814, 779, 999, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 779, 999, 533 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 814, 779, 999, 533. So, keep reading to learn more.
Given numbers are 814,779,999,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,779,999,533 is 222571206.
Find LCM of 814,779,999,533 with Prime Factorization
| 37 | 814, 779, 999, 533 |
| 41 | 22, 779, 27, 533 |
| 22, 19, 27, 13 |
Multiply the prime numbers at the bottom and the left side.
37 x 41 x 22 x 19 x 27 x 13 = 222571206
Therefore, the lowest common multiple of 814,779,999,533 is 222571206.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
814 x 779 x 999 x 533 = 337640519502
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
814 : 1, 2, 11, 22, 37, 74, 407, 814
779 : 1, 19, 41, 779
999 : 1, 3, 9, 27, 37, 111, 333, 999
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,779,999,533, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
779:19x 41
999:3x 3x 3x 37
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
37x 41 = 1517
Therefore, the value for common factors is 1517.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 337640519502/(1x1517)
LCM = 337640519502/1517
LCM = 222571206
Thus, we can understand that the LCM of 814,779,999,533 is 222571206.
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FAQs on LCM of 814, 779, 999, 533
1. What is the LCM of 814, 779, 999, 533?
Answer: LCM of 814, 779, 999, 533 is 222571206.
2. How to calculate the LCM of 814, 779, 999, 533?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 814, 779, 999, 533.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.